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Finding the Fourth Proportional to 11,567.40, 15,963.08 and 6,531.84

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Solution

The fourth proportional to 11,567.40, 15,963.08 and 6,531.84 is: 9,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.40 : 15,963.08 = 6,531.84 : x
  2. Step 2: Convert to fraction form
    11,567.40/15,963.08 = 6,531.84/x
  3. Step 3: Cross multiply
    11,567.40x = 15,963.08 × 6,531.84
  4. Step 4: Simplify right side
    11,567.40x = 104,268,284.47
  5. Step 5: Solve for x
    x = 104,268,284.47/11,567.40
  6. Step 6: Final answer
    x = 9,013.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.